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Finding the Third Proportional to 798,238.55 and 1,742,789.36

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Solution

The third proportional to 798,238.55 and 1,742,789.36 is: 3,805,021.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    798,238.55 : 1,742,789.36 = 1,742,789.36 : x
  2. Step 2: Convert to fraction form
    798,238.55/1,742,789.36 = 1,742,789.36/x
  3. Step 3: Cross multiply
    798,238.55x = 1,742,789.36 × 1,742,789.36
  4. Step 4: Simplify right side
    798,238.55x = 3,037,314,737,535.36
  5. Step 5: Solve for x
    x = 3,037,314,737,535.36/798,238.55
  6. Step 6: Final answer
    x = 3,805,021.38

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.